Theorem pm2.86d 71

Description: Deduction based on pm2.86 69.

Hypothesis

Ref	Expression
pm2.86d.1	⊢ (φ → ((ψ → χ) → (ψ → θ)))

Assertion

Ref	Expression
pm2.86d	⊢ (φ → (ψ → (χ → θ)))

Proof of Theorem pm2.86d

Step	Hyp	Ref	Expression
1		pm2.86d.1	. 2 ⊢ (φ → ((ψ → χ) → (ψ → θ)))
2		pm2.86 69	. 2 ⊢ (((ψ → χ) → (ψ → θ)) → (ψ → (χ → θ)))
3	1, 2	syl 10	1 ⊢ (φ → (ψ → (χ → θ)))

Syntax hints:   → wi 3

This theorem is referenced by:  pm5.74 586  ax15 1363  rcla4dv 1885  rcla4edv 1886  rcla4devOLD 10456

This theorem was proved from axioms:  ax-1 4  ax-2 5  ax-mp 7

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